JGEOMETRY3D::JTrack3D Class Reference

3D track. More...

#include <JTrack3D.hh>

Inheritance diagram for JGEOMETRY3D::JTrack3D:

Public Member Functions
	JTrack3D ()
	Default constructor. More...
	JTrack3D (const JAxis3D &axis, const JTime &t0)
	Constructor. More...
	JTrack3D (const JVector3D &pos, const JVersor3D &dir, const JTime &t0)
	Constructor. More...
	JTrack3D (const JVertex3D &vertex, const JVersor3D &dir)
	Constructor. More...
JVertex3D	getVertex () const
	Get vertex of this track. More...
void	move (const double step, const double velocity)
	Move vertex along this track with given velocity. More...
double	getT (const JVector3D &pos) const
	Get arrival time of Cherenkov light at given position. More...
JVersor3D	getDirection (const JVector3D &pos) const
	Get photon direction of Cherenkov light on PMT. More...
double	getDot (const JAxis3D &axis) const
	Get cosine angle of impact of Cherenkov light on PMT. More...
double	getDot (const JVector3D &pos) const
	Get cosine angle of emission of Cherenkov light on PMT. More...
const JAxis3D &	getAxis () const
	Get axis. More...
void	setAxis (const JAxis3D &axis)
	Set axis. More...
JAxis3D &	negate ()
	Negate axis. More...
void	move (const double step)
	Move vertex along this axis. More...
double	getIntersection (const JVector3D &pos) const
	Get longitudinal position along axis of position of closest approach with given position. More...
double	getIntersection (const JAxis3D &axis, const double precision=1.0e-8) const
	Get longitudinal position along axis of position of closest approach with given axis. More...
double	getDistanceSquared (const JVector3D &pos) const
	Get distance squared. More...
double	getDistance (const JVector3D &pos) const
	Get distance. More...
JAxis3D &	rotate (const JRotation3D &R)
	Rotate axis. More...
JAxis3D &	rotate (const JRotation3X &R)
	Rotate around X-axis. More...
JAxis3D &	rotate (const JRotation3Y &R)
	Rotate around Y-axis. More...
JAxis3D &	rotate (const JRotation3Z &R)
	Rotate around Z-axis. More...
JAxis3D &	rotate (const JQuaternion3D &Q)
	Rotate axis. More...
JAxis3D &	rotate_back (const JRotation3D &R)
	Rotate back axis. More...
JAxis3D &	rotate_back (const JRotation3X &R)
	Rotate back around X-axis. More...
JAxis3D &	rotate_back (const JRotation3Y &R)
	Rotate back around Y-axis. More...
JAxis3D &	rotate_back (const JRotation3Z &R)
	Rotate back around Z-axis. More...
JPosition3D &	rotate_back (const JQuaternion3D &Q)
	Rotate back. More...
JDirection3D &	rotate_back (const JQuaternion3D &Q)
	Rotate back. More...
void	transform (const JAxis3D &axis)
	Transform axis to reference frame of given axis. More...
void	transform (const JRotation3D &R, const JVector3D &pos)
	Transform axis. More...
void	transform (const JTransformation3D &T)
	Transform axis. More...
JVector3D &	transform (const JMatrix3D &T)
	Transform. More...
JDirection3D &	transform (const JMatrix3D &T)
	Transform. More...
void	transform_back (const JRotation3D &R, const JVector3D &pos)
	Transform back axis. More...
void	transform_back (const JTransformation3D &T)
	Transform back axis. More...
const JPosition3D &	getPosition () const
	Get position. More...
JPosition3D &	getPosition ()
	Get position. More...
void	setPosition (const JVector3D &pos)
	Set position. More...
	operator JAngle3D () const
	Type conversion operator. More...
	operator JAngle3D () const
	Type conversion operator. More...
	operator JVersor3D () const
	Type conversion operator. More...
double	getDot (const JAngle3D &angle) const
	Get dot product. More...
double	getDot (const JVersor3D &dir) const
	Get dot product. More...
double	getDot (const JVersor3Z &dir) const
	Get dot product. More...
double	getDot (const JAngle3D &angle) const
	Get dot product. More...
double	getDot (const JVersor3Z &dir) const
	Get dot product. More...
double	getDot (const JVersor3D &versor) const
	Get dot product. More...
	operator JVector2D () const
	Type conversion operator. More...
double	getX () const
	Get x position. More...
double	getY () const
	Get y position. More...
double	getZ () const
	Get z position. More...
JVector3D &	add (const JVector3D &vector)
	Add vector. More...
JVector3D &	sub (const JVector3D &vector)
	Subtract vector. More...
JVector3D &	mul (const double factor)
	Scale vector. More...
JFirst_t &	mul (const JSecond_t &object)
	Multiply with object. More...
JFirst_t &	mul (const JSecond_t &object)
	Multiply with object. More...
JVector3D &	div (const double factor)
	Scale vector. More...
bool	equals (const JVector3D &vector, const double precision=std::numeric_limits< double >::min()) const
	Check equality. More...
bool	equals (const JVersor3D &versor, const double precision=std::numeric_limits< double >::min()) const
	Check equality. More...
double	getLengthSquared () const
	Get length squared. More...
double	getLength () const
	Get length. More...
JVector3D &	getCross (const JVector3D &first, const JVector3D &second)
	Get cross product. More...
JVersor3D &	getCross (const JVersor3D &first, const JVersor3D &second)
	Get cross product. More...
const JDirection3D &	getDirection () const
	Get direction. More...
JDirection3D &	getDirection ()
	Get direction. More...
void	setDirection (const JDirection3D &dir)
	Set direction. More...
	operator JVector3D () const
	Type conversion operator. More...
double	getDX () const
	Get x direction. More...
double	getDY () const
	Get y direction. More...
double	getDZ () const
	Get z direction. More...
double	getTheta () const
	Get theta angle. More...
double	getPhi () const
	Get phi angle. More...
JVersor3D &	normalise ()
	Normalise versor. More...
JTime &	negate ()
	Prefix unary minus. More...
JTime &	add (const JTime &value)
	Addition operator. More...
JTime &	sub (const JTime &value)
	Subtraction operator. More...
JTime &	mul (const double value)
	Multiplication operator. More...
JTime &	div (const double value)
	Division operator. More...
void	setT (const double time)
	Set time. More...
double	getT () const
	Get time. More...

Protected Attributes
double	__x
double	__y
double	__z
double	__dx
double	__dy
double	__dz
double	__t

Friends
std::istream &	operator>> (std::istream &in, JTrack3D &track)
	Read track from input. More...
std::ostream &	operator<< (std::ostream &out, const JTrack3D &track)
	Write track to output. More...
JReader &	operator>> (JReader &in, JTrack3D &track)
	Read track from input. More...
JWriter &	operator<< (JWriter &out, const JTrack3D &track)
	Write track to output. More...

Detailed Description

3D track.

Definition at line 30 of file JTrack3D.hh.

Constructor & Destructor Documentation

JGEOMETRY3D::JTrack3D::JTrack3D ( )

inline

Default constructor.

Definition at line 47 of file JTrack3D.hh.

               :
      JAxis3D(),
      JTime  ()
    {}

JGEOMETRY3D::JTrack3D::JTrack3D ( const JAxis3D &  axis, const JTime &  t0  )

inline

Constructor.

Parameters

axis	track axis
t0	time at vertex

Definition at line 59 of file JTrack3D.hh.

                                :
      JAxis3D(axis),
      JTime  (t0)
    {}

JGEOMETRY3D::JTrack3D::JTrack3D ( const JVector3D &  pos, const JVersor3D &  dir, const JTime &  t0  )

inline

Constructor.

Parameters

pos	position
dir	direction
t0	time at vertex

Definition at line 73 of file JTrack3D.hh.

                                  :
      JAxis3D(pos, dir),
      JTime  (t0)
    {}

JGEOMETRY3D::JTrack3D::JTrack3D ( const JVertex3D &  vertex, const JVersor3D &  dir  )

inline

Constructor.

Parameters

vertex	vertex
dir	direction

Definition at line 87 of file JTrack3D.hh.

                                   :
      JAxis3D(vertex.getPosition(), dir),
      JTime  (vertex.getT())
    {}

Member Function Documentation

JVertex3D JGEOMETRY3D::JTrack3D::getVertex ( ) const

inline

Get vertex of this track.

Returns

vertex

Definition at line 99 of file JTrack3D.hh.

    {
      return JVertex3D(getPosition(), getT());
    }

void JGEOMETRY3D::JTrack3D::move ( const double  step, const double  velocity  )

inline

Move vertex along this track with given velocity.

Parameters

step	step
velocity	velocity

Definition at line 112 of file JTrack3D.hh.

    {
      JAxis3D::move(step);

      __t += step / velocity;
    }

double JGEOMETRY3D::JTrack3D::getT ( const JVector3D &  pos ) const

inline

Get arrival time of Cherenkov light at given position.

Parameters

pos	position [m]

Returns

time [ns]

Definition at line 126 of file JTrack3D.hh.

    {
      using namespace JPHYSICS;

      JPosition3D D(pos);

      D.sub(this->getPosition());

      const double dz = D.getDot(this->getDirection());
      const double rt = sqrt(D.getLengthSquared() - dz*dz);
      
      return this->getT() + (dz + rt * getKappaC()) * getInverseSpeedOfLight();
    }

JVersor3D JGEOMETRY3D::JTrack3D::getDirection ( const JVector3D &  pos ) const

inline

Get photon direction of Cherenkov light on PMT.

Parameters

pos	PMT position

Returns

direction

Definition at line 147 of file JTrack3D.hh.

    {
      using namespace JPHYSICS;

      JPosition3D D(pos);

      D.sub(this->getPosition());

      const double dz = D.getDot(this->getDirection());
      const double R  = sqrt(D.getLengthSquared() - dz*dz);

      D.sub(JPosition3D(this->getDirection()) * (dz - R/getTanThetaC()));

      return JDirection3D(D);
    }

double JGEOMETRY3D::JTrack3D::getDot ( const JAxis3D &  axis ) const

inline

Get cosine angle of impact of Cherenkov light on PMT.

Parameters

axis

PMT axis

Returns

cosine angle of impact

Definition at line 170 of file JTrack3D.hh.

    {
      return getDirection(axis.getPosition()).getDot(axis.getDirection());
    }

double JGEOMETRY3D::JTrack3D::getDot ( const JVector3D &  pos ) const

inline

Get cosine angle of emission of Cherenkov light on PMT.

Parameters

pos	PMT position

Returns

cosine angle of impact

Definition at line 182 of file JTrack3D.hh.

    {
      return JDirection3D(pos - getPosition()).getDot(getDirection());
    }

const JAxis3D& JGEOMETRY3D::JAxis3D::getAxis ( ) const

inlineinherited

Get axis.

Returns

axis

Definition at line 98 of file JAxis3D.hh.

    { 
      return *this; 
    }

void JGEOMETRY3D::JAxis3D::setAxis ( const JAxis3D &  axis )

inlineinherited

Set axis.

Parameters

axis

axis

Definition at line 109 of file JAxis3D.hh.

    { 
      *this = axis; 
    }

JAxis3D& JGEOMETRY3D::JAxis3D::negate ( )

inlineinherited

Negate axis.

Returns

this axis

Definition at line 120 of file JAxis3D.hh.

    {
      static_cast<JPosition3D&> (*this).negate();
      static_cast<JDirection3D&>(*this).negate();

      return *this;
    }

void JGEOMETRY3D::JAxis3D::move ( const double  step )

inlineinherited

Move vertex along this axis.

Parameters

step

step

Definition at line 134 of file JAxis3D.hh.

    {
      getPosition() += step * JPosition3D(getDirection());    
    }

double JGEOMETRY3D::JAxis3D::getIntersection ( const JVector3D &  pos ) const

inlineinherited

Get longitudinal position along axis of position of closest approach with given position.

Parameters

pos

position

Returns

longitudinal position

Definition at line 146 of file JAxis3D.hh.

    {
      JPosition3D D(pos);

      D.sub(this->getPosition());

      return D.getDot(this->getDirection());
    }

double JGEOMETRY3D::JAxis3D::getIntersection ( const JAxis3D &  axis, const double  precision = 1.0e-8  ) const

inlineinherited

Get longitudinal position along axis of position of closest approach with given axis.

If the axes are paralel, this position corresponds to the vertex of the given axis.

Parameters

axis	axis
precision	precision

Returns

longitudinal position

Definition at line 164 of file JAxis3D.hh.

    {
      JPosition3D  pos(getPosition ());
      JDirection3D dir(getDirection());
      
      const JRotation3D R(axis.getDirection());
     
      // offset this position with position of given axis
 
      pos.sub(axis.getPosition());

      // rotate along given axis
      
      pos.rotate(R);
      dir.rotate(R);
      
      // longitudinal position at minimal distance of approach
      
      const double alpha = pos.getX()  * dir.getDX()  +  pos.getY()  * dir.getDY();
      const double beta  = dir.getDX() * dir.getDX()  +  dir.getDY() * dir.getDY();
      
      return (fabs(beta) > precision ? -alpha/beta : -pos.getZ());
    }

double JGEOMETRY3D::JAxis3D::getDistanceSquared ( const JVector3D &  pos ) const

inlineinherited

Get distance squared.

Parameters

pos

position

Returns

square of distance

Definition at line 195 of file JAxis3D.hh.

    {
      JPosition3D D(pos);

      D.sub(this->getPosition());

      const double dz = D.getDot(this->getDirection());

      return D.getLengthSquared() - dz*dz;
    }

double JGEOMETRY3D::JAxis3D::getDistance ( const JVector3D &  pos ) const

inlineinherited

Get distance.

Parameters

pos

osition

Returns

distance

Definition at line 213 of file JAxis3D.hh.

    {
      return sqrt(this->getDistanceSquared(pos));
    }

JAxis3D& JGEOMETRY3D::JAxis3D::rotate ( const JRotation3D &  R )

inlineinherited

Rotate axis.

Parameters

R	rotation matrix

Returns

this axis

Definition at line 225 of file JAxis3D.hh.

    {
      static_cast<JPosition3D&> (*this).rotate(R);
      static_cast<JDirection3D&>(*this).rotate(R);

      return *this;
    }

JAxis3D& JGEOMETRY3D::JAxis3D::rotate ( const JRotation3X &  R )

inlineinherited

Rotate around X-axis.

Parameters

R	rotation matrix

Returns

this axis

Definition at line 255 of file JAxis3D.hh.

    {
      static_cast<JPosition3D&> (*this).rotate(R);
      static_cast<JDirection3D&>(*this).rotate(R);

      return *this;
    }

JAxis3D& JGEOMETRY3D::JAxis3D::rotate ( const JRotation3Y &  R )

inlineinherited

Rotate around Y-axis.

Parameters

R	rotation matrix

Returns

this axis

Definition at line 285 of file JAxis3D.hh.

    {
      static_cast<JPosition3D&> (*this).rotate(R);
      static_cast<JDirection3D&>(*this).rotate(R);

      return *this;
    }

JAxis3D& JGEOMETRY3D::JAxis3D::rotate ( const JRotation3Z &  R )

inlineinherited

Rotate around Z-axis.

Parameters

R	rotation matrix

Returns

this axis

Definition at line 315 of file JAxis3D.hh.

    {
      static_cast<JPosition3D&> (*this).rotate(R);
      static_cast<JDirection3D&>(*this).rotate(R);

      return *this;
    }

JAxis3D& JGEOMETRY3D::JAxis3D::rotate ( const JQuaternion3D &  Q )

inlineinherited

Rotate axis.

Parameters

Q	quaternion

Returns

this axis

Definition at line 345 of file JAxis3D.hh.

    {
      static_cast<JPosition3D&> (*this).rotate(Q);
      static_cast<JDirection3D&>(*this).rotate(Q);

      return *this;
    }

JAxis3D& JGEOMETRY3D::JAxis3D::rotate_back ( const JRotation3D &  R )

inlineinherited

Rotate back axis.

Parameters

R	rotation matrix

Returns

this axis

Definition at line 240 of file JAxis3D.hh.

    {
      static_cast<JPosition3D&> (*this).rotate_back(R);
      static_cast<JDirection3D&>(*this).rotate_back(R);

      return *this;
    }

JAxis3D& JGEOMETRY3D::JAxis3D::rotate_back ( const JRotation3X &  R )

inlineinherited

Rotate back around X-axis.

Parameters

R	rotation matrix

Returns

this axis

Definition at line 270 of file JAxis3D.hh.

    {
      static_cast<JPosition3D&> (*this).rotate_back(R);
      static_cast<JDirection3D&>(*this).rotate_back(R);

      return *this;
    }

JAxis3D& JGEOMETRY3D::JAxis3D::rotate_back ( const JRotation3Y &  R )

inlineinherited

Rotate back around Y-axis.

Parameters

R	rotation matrix

Returns

this axis

Definition at line 300 of file JAxis3D.hh.

    {
      static_cast<JPosition3D&> (*this).rotate_back(R);
      static_cast<JDirection3D&>(*this).rotate_back(R);

      return *this;
    }

JAxis3D& JGEOMETRY3D::JAxis3D::rotate_back ( const JRotation3Z &  R )

inlineinherited

Rotate back around Z-axis.

Parameters

R	rotation matrix

Returns

his axis

Definition at line 330 of file JAxis3D.hh.

    {
      static_cast<JPosition3D&> (*this).rotate_back(R);
      static_cast<JDirection3D&>(*this).rotate_back(R);

      return *this;
    }

JPosition3D& JGEOMETRY3D::JPosition3D::rotate_back ( const JQuaternion3D &  Q )

inlineinherited

Rotate back.

Parameters

Q	quaternion

Returns

this position

Definition at line 312 of file JPosition3D.hh.

    {
      Q.rotate_back(__x, __y, __z);

      return *this;
    }

JDirection3D& JGEOMETRY3D::JDirection3D::rotate_back ( const JQuaternion3D &  Q )

inlineinherited

Rotate back.

Parameters

Q	quaternion

Returns

this position

Definition at line 321 of file JDirection3D.hh.

    {
      Q.rotate_back(__dx, __dy, __dz);

      return *this;
    }

void JGEOMETRY3D::JAxis3D::transform ( const JAxis3D &  axis )

inlineinherited

Transform axis to reference frame of given axis.

Parameters

axis

axis

Definition at line 359 of file JAxis3D.hh.

    {
      JRotation3D R  (axis.getDirection());
      JPosition3D pos(axis.getPosition ());

      transform(R, pos.rotate(R));
    }

void JGEOMETRY3D::JAxis3D::transform ( const JRotation3D &  R, const JVector3D &  pos  )

inlineinherited

Transform axis.

The final position and direction are obtained as follows:

1. rotation of the position and the direction according rotation matrix (R);
2. offset position with position of origin in rotated system (pos);
3. rotation of position and direction around z-axis, such that final position is in x-z plane;

Parameters

R	rotation matrix
pos	position of origin

Definition at line 379 of file JAxis3D.hh.

    {
      JPosition3D&  u = getPosition ();
      JDirection3D& v = getDirection();

      // rotate axis to system such that direction is along z-axis

      u.rotate(R);
      v.rotate(R);

      // offset with respect to origin

      u.sub(pos);

      // rotate axis to x-z plane such that position is in x-z plane

      const double phi = atan2(u.getY(), u.getX());

      const JRotation3Z r(-phi);

      u.rotate(r);
      v.rotate(r);
    }

void JGEOMETRY3D::JAxis3D::transform ( const JTransformation3D &  T )

inlineinherited

Transform axis.

Parameters

T	transformation

Definition at line 437 of file JAxis3D.hh.

    {
      transform(T.getRotation(), T.getPosition());
    }

JVector3D& JGEOMETRY3D::JVector3D::transform ( const JMatrix3D &  T )

inlineinherited

Transform.

Parameters

T

matrix

Returns

this vector

Definition at line 206 of file JVector3D.hh.

    {
      T.transform(__x, __y, __z);

      return *this;
    }

JDirection3D& JGEOMETRY3D::JDirection3D::transform ( const JMatrix3D &  T )

inlineinherited

Transform.

Parameters

T

matrix

Returns

this direction

Definition at line 163 of file JDirection3D.hh.

    {
      T.transform(__dx, __dy, __dz);

      normalise();

      return *this;
    }

void JGEOMETRY3D::JAxis3D::transform_back ( const JRotation3D &  R, const JVector3D &  pos  )

inlineinherited

Transform back axis.

The final position and direction are obtained as follows:

1. offset position with position pos;
2. rotation of position and direction according matrix R;

Parameters

R	rotation matrix
pos	position of origin (before rotation)

Definition at line 415 of file JAxis3D.hh.

    {
      JPosition3D&  u = getPosition ();
      JDirection3D& v = getDirection();

      // offset with respect to origin

      u.add(pos);

      // rotate back axis to system with original particle direction

      u.rotate_back(R);
      v.rotate_back(R);
    }

void JGEOMETRY3D::JAxis3D::transform_back ( const JTransformation3D &  T )

inlineinherited

Transform back axis.

Parameters

T	transformation

Definition at line 448 of file JAxis3D.hh.

    {
      transform_back(T.getRotation(), T.getPosition());
    }

const JPosition3D& JGEOMETRY3D::JPosition3D::getPosition ( ) const

inlineinherited

Get position.

Returns

position

Definition at line 130 of file JPosition3D.hh.

    {
      return static_cast<const JPosition3D&>(*this);
    }

JPosition3D& JGEOMETRY3D::JPosition3D::getPosition ( )

inlineinherited

Get position.

Returns

position

Definition at line 141 of file JPosition3D.hh.

    {
      return static_cast<JPosition3D&>(*this);
    }

void JGEOMETRY3D::JPosition3D::setPosition ( const JVector3D &  pos )

inlineinherited

Set position.

Parameters

pos

position

Definition at line 152 of file JPosition3D.hh.

    {
      static_cast<JVector3D&>(*this) = pos;
    }

JGEOMETRY3D::JPosition3D::operator JAngle3D ( ) const

inlineinherited

Type conversion operator.

Returns

angle

Definition at line 163 of file JPosition3D.hh.

    {
      return JAngle3D(getX(), getY(), getZ());
    }

JGEOMETRY3D::JDirection3D::operator JAngle3D ( ) const

inlineinherited

Type conversion operator.

Returns

angle

Definition at line 140 of file JDirection3D.hh.

    {
      return JAngle3D(getDX(), getDY(), getDZ());
    }

JGEOMETRY3D::JPosition3D::operator JVersor3D ( ) const

inlineinherited

Type conversion operator.

Returns

direction

Definition at line 174 of file JPosition3D.hh.

    {
      return JVersor3D(getX(), getY(), getZ());
    }

double JGEOMETRY3D::JPosition3D::getDot ( const JAngle3D &  angle ) const

inlineinherited

Get dot product.

Parameters

angle

angle

Returns

dot product

Definition at line 378 of file JPosition3D.hh.

    {
      return
        getX() * angle.getDX() +
        getY() * angle.getDY() +
        getZ() * angle.getDZ();
    }

double JGEOMETRY3D::JPosition3D::getDot ( const JVersor3D &  dir ) const

inlineinherited

Get dot product.

Parameters

dir

direction

Returns

dot product

Definition at line 393 of file JPosition3D.hh.

    {
      return
        getX() * dir.getDX() +
        getY() * dir.getDY() +
        getZ() * dir.getDZ();
    }

double JGEOMETRY3D::JPosition3D::getDot ( const JVersor3Z &  dir ) const

inlineinherited

Get dot product.

Parameters

dir

direction

Returns

dot product

Definition at line 408 of file JPosition3D.hh.

    {
      return
        getX() * dir.getDX() +
        getY() * dir.getDY() +
        getZ() * dir.getDZ();
    }

double JGEOMETRY3D::JDirection3D::getDot ( const JAngle3D &  angle ) const

inlineinherited

Get dot product.

Parameters

angle

angle

Returns

dot product

Definition at line 335 of file JDirection3D.hh.

    {
      return
        getDX() * angle.getDX() +
        getDY() * angle.getDY() +
        getDZ() * angle.getDZ();
    }

double JGEOMETRY3D::JDirection3D::getDot ( const JVersor3Z &  dir ) const

inlineinherited

Get dot product.

Parameters

dir

direction

Returns

dot product

Definition at line 365 of file JDirection3D.hh.

    {
      return
        getDX() * dir.getDX() +
        getDY() * dir.getDY() +
        getDZ() * dir.getDZ();
    }

double JGEOMETRY3D::JVersor3D::getDot ( const JVersor3D &  versor ) const

inlineinherited

Get dot product.

Parameters

versor

versor

Returns

dot product

Definition at line 156 of file JVersor3D.hh.

    {
      return
        getDX() * versor.getDX() + 
        getDY() * versor.getDY() +
        getDZ() * versor.getDZ();
    }

JGEOMETRY3D::JVector3D::operator JVector2D ( ) const

inlineinherited

Type conversion operator.

Returns

JVector2D

Definition at line 83 of file JVector3D.hh.

    {
      return JVector2D(this->getX(), this->getY());
    }

double JGEOMETRY3D::JVector3D::getX ( ) const

inlineinherited

Get x position.

Returns

x position

Definition at line 94 of file JVector3D.hh.

    { 
      return __x;
    }

double JGEOMETRY3D::JVector3D::getY ( ) const

inlineinherited

Get y position.

Returns

y position

Definition at line 104 of file JVector3D.hh.

    { 
      return __y;
    }

double JGEOMETRY3D::JVector3D::getZ ( ) const

inlineinherited

Get z position.

Returns

z position

Definition at line 115 of file JVector3D.hh.

    { 
      return __z;
    }

JVector3D& JGEOMETRY3D::JVector3D::add ( const JVector3D &  vector )

inlineinherited

Add vector.

Parameters

vector

vector

Returns

this vector

Definition at line 142 of file JVector3D.hh.

    {
      __x += vector.getX();
      __y += vector.getY();
      __z += vector.getZ();

      return *this;
    }

JVector3D& JGEOMETRY3D::JVector3D::sub ( const JVector3D &  vector )

inlineinherited

Subtract vector.

Parameters

vector

vector

Returns

this vector

Definition at line 158 of file JVector3D.hh.

    {
      __x -= vector.getX();
      __y -= vector.getY();
      __z -= vector.getZ();

      return *this;
    }

JVector3D& JGEOMETRY3D::JVector3D::mul ( const double  factor )

inlineinherited

Scale vector.

Parameters

factor

multiplication factor

Returns

this vector

Definition at line 174 of file JVector3D.hh.

    {
      __x *= factor;
      __y *= factor;
      __z *= factor;

      return *this;
    }

template<class JFirst_t, class JSecond_t = JNullType>

JFirst_t& JMATH::JMath< JFirst_t, JSecond_t >::mul ( const JSecond_t &  object )

inlineinherited

Multiply with object.

Parameters

object

object

Returns

result object

Definition at line 354 of file JMath.hh.

    {
      return static_cast<JFirst_t&>(*this) = JFirst_t().mul(static_cast<const JFirst_t&>(*this), object);
    }

template<class JFirst_t, class JSecond_t = JNullType>

JFirst_t& JMATH::JMath< JFirst_t, JSecond_t >::mul ( const JSecond_t &  object )

inlineinherited

Multiply with object.

Parameters

object

object

Returns

result object

Definition at line 354 of file JMath.hh.

    {
      return static_cast<JFirst_t&>(*this) = JFirst_t().mul(static_cast<const JFirst_t&>(*this), object);
    }

JVector3D& JGEOMETRY3D::JVector3D::div ( const double  factor )

inlineinherited

Scale vector.

Parameters

factor

division factor

Returns

this vector

Definition at line 190 of file JVector3D.hh.

    {
      __x /= factor;
      __y /= factor;
      __z /= factor;

      return *this;
    }

bool JGEOMETRY3D::JVector3D::equals ( const JVector3D &  vector, const double  precision = std::numeric_limits<double>::min()  ) const

inlineinherited

Check equality.

Parameters

vector	vector
precision	precision

Returns

true if vectors are equal; else false

Definition at line 221 of file JVector3D.hh.

    {
      return (fabs(getX() - vector.getX()) <= precision &&
              fabs(getY() - vector.getY()) <= precision &&
              fabs(getZ() - vector.getZ()) <= precision);
    }

bool JGEOMETRY3D::JVersor3D::equals ( const JVersor3D &  versor, const double  precision = std::numeric_limits<double>::min()  ) const

inlineinherited

Check equality.

Parameters

versor	versor
precision	precision

Returns

true if versors are equal; else false

Definition at line 81 of file JVersor3D.hh.

    {
      return (fabs(getDX() - versor.getDX()) <= precision &&
              fabs(getDY() - versor.getDY()) <= precision &&
              fabs(getDZ() - versor.getDZ()) <= precision);
    }

double JGEOMETRY3D::JVector3D::getLengthSquared ( ) const

inlineinherited

Get length squared.

Returns

square of length

Definition at line 235 of file JVector3D.hh.

    { 
      return getX()*getX() + getY()*getY() + getZ()*getZ();
    }

double JGEOMETRY3D::JVector3D::getLength ( ) const

inlineinherited

Get length.

Returns

length

Definition at line 246 of file JVector3D.hh.

    { 
      return sqrt(getLengthSquared());
    }

JVector3D& JGEOMETRY3D::JVector3D::getCross ( const JVector3D &  first, const JVector3D &  second  )

inlineinherited

Get cross product.

Note that this vector should not overlap with the first or second vector,

Parameters

first	first vector
second	second vector

Returns

this vector

Definition at line 299 of file JVector3D.hh.

    {
      __x = first .getY() * second.getZ()  -  second.getY() * first .getZ();
      __y = second.getX() * first .getZ()  -  first .getX() * second.getZ();
      __z = first .getX() * second.getY()  -  second.getX() * first .getY();

      return *this;
    }

JVersor3D& JGEOMETRY3D::JVersor3D::getCross ( const JVersor3D &  first, const JVersor3D &  second  )

inlineinherited

Get cross product.

Note that this versor should not overlap with the first or second versor,

Parameters

first	first versor
second	second versor

Returns

this versor

Definition at line 173 of file JVersor3D.hh.

    {
      __dx = first .getDY() * second.getDZ()  -  second.getDY() * first .getDZ();
      __dy = second.getDX() * first .getDZ()  -  first .getDX() * second.getDZ();
      __dz = first .getDX() * second.getDY()  -  second.getDX() * first .getDY();

      normalise();

      return *this;
    }

const JDirection3D& JGEOMETRY3D::JDirection3D::getDirection ( ) const

inlineinherited

Get direction.

Returns

direction

Definition at line 107 of file JDirection3D.hh.

    {
      return static_cast<const JDirection3D&>(*this);
    }

JDirection3D& JGEOMETRY3D::JDirection3D::getDirection ( )

inlineinherited

Get direction.

Returns

direction

Definition at line 118 of file JDirection3D.hh.

    {
      return static_cast<JDirection3D&>(*this);
    }

void JGEOMETRY3D::JDirection3D::setDirection ( const JDirection3D &  dir )

inlineinherited

Set direction.

Parameters

dir

direction

Definition at line 129 of file JDirection3D.hh.

    {
      static_cast<JDirection3D&>(*this) = dir;
    }

JGEOMETRY3D::JDirection3D::operator JVector3D ( ) const

inlineinherited

Type conversion operator.

Returns

position

Definition at line 151 of file JDirection3D.hh.

    {
      return JVector3D(getDX(), getDY(), getDZ());
    }

double JGEOMETRY3D::JVersor3D::getDX ( ) const

inlineinherited

Get x direction.

Returns

x direction

Definition at line 95 of file JVersor3D.hh.

    {
      return __dx;
    }

double JGEOMETRY3D::JVersor3D::getDY ( ) const

inlineinherited

Get y direction.

Returns

y direction

Definition at line 106 of file JVersor3D.hh.

    {
      return __dy;
    }

double JGEOMETRY3D::JVersor3D::getDZ ( ) const

inlineinherited

Get z direction.

Returns

z direction

Definition at line 117 of file JVersor3D.hh.

    {
      return __dz;
    }

double JGEOMETRY3D::JVersor3D::getTheta ( ) const

inlineinherited

Get theta angle.

Returns

theta angle [rad]

Definition at line 128 of file JVersor3D.hh.

    {
      if      (__dz > +1.0)
        return 0.0;
      else if (__dz < -1.0)
        return JMATH::PI;
      else
        return acos(__dz);
    }

double JGEOMETRY3D::JVersor3D::getPhi ( ) const

inlineinherited

Get phi angle.

Returns

phi angle [rad]

Definition at line 144 of file JVersor3D.hh.

    { 
      return atan2(__dy, __dx);
    }

JVersor3D& JGEOMETRY3D::JVersor3D::normalise ( )

inlineinherited

Normalise versor.

This operation may set the result to the unit z-vector.

Returns

this versor

Definition at line 192 of file JVersor3D.hh.

    {
      const double v = sqrt(getDX()*getDX() + getDY()*getDY() + getDZ()*getDZ());

      if (v != 0.0) {
        __dx /= v;
        __dy /= v;
        __dz /= v;
      }

      return *this;
    }

JTime& JGEOMETRY3D::JTime::negate ( )

inlineinherited

Prefix unary minus.

Returns

time

Definition at line 53 of file JGeometry3D/JTime.hh.

    {
      __t = -__t;

      return *this;
    }

JTime& JGEOMETRY3D::JTime::add ( const JTime &  value )

inlineinherited

Addition operator.

Parameters

value

time

Returns

time

Definition at line 67 of file JGeometry3D/JTime.hh.

    {
      __t += value.getT();

      return *this;
    }

JTime& JGEOMETRY3D::JTime::sub ( const JTime &  value )

inlineinherited

Subtraction operator.

Parameters

value

time

Returns

time

Definition at line 81 of file JGeometry3D/JTime.hh.

    {
      __t -= value.getT();

      return *this;
    }

JTime& JGEOMETRY3D::JTime::mul ( const double  value )

inlineinherited

Multiplication operator.

Parameters

value

multiplication factor

Returns

time

Definition at line 95 of file JGeometry3D/JTime.hh.

    {
      __t *= value;

      return *this;
    }

JTime& JGEOMETRY3D::JTime::div ( const double  value )

inlineinherited

Division operator.

Parameters

value

multiplication factor

Returns

time

Definition at line 109 of file JGeometry3D/JTime.hh.

    {
      __t /= value;

      return *this;
    }

void JGEOMETRY3D::JTime::setT ( const double  time )

inlineinherited

Set time.

Parameters

time

Definition at line 122 of file JGeometry3D/JTime.hh.

    {
      __t = time;
    }

double JGEOMETRY3D::JTime::getT ( ) const

inlineinherited

Get time.

Returns

time

Definition at line 133 of file JGeometry3D/JTime.hh.

    {
      return __t;
    }

Friends And Related Function Documentation

std::istream& operator>> ( std::istream &  in, JTrack3D &  track  )

friend

Read track from input.

Parameters

in	input stream
track	track

Returns

input stream

Definition at line 195 of file JTrack3D.hh.

    {
      in >> static_cast<JAxis3D&>(track);
      in >> static_cast<JTime&>  (track);

      return in;
    }

std::ostream& operator<< ( std::ostream &  out, const JTrack3D &  track  )

friend

Write track to output.

Parameters

out	output stream
track	track

Returns

output stream

Definition at line 211 of file JTrack3D.hh.

    {
      out << static_cast<const JAxis3D&>(track);
      out << ' ';
      out << static_cast<const JTime&>  (track);

      return out;
    }

JReader& operator>> ( JReader &  in, JTrack3D &  track  )

friend

Read track from input.

Parameters

in	reader
track	track

Returns

reader

Definition at line 228 of file JTrack3D.hh.

    {
      in >> static_cast<JAxis3D&>(track);
      in >> static_cast<JTime&>  (track);

      return in;
    }

JWriter& operator<< ( JWriter &  out, const JTrack3D &  track  )

friend

Write track to output.

Parameters

out	writer
track	track

Returns

writer

Definition at line 244 of file JTrack3D.hh.

    {
      out << static_cast<const JAxis3D&>(track);
      out << static_cast<const JTime&>  (track);

      return out;
    }

Member Data Documentation

double JGEOMETRY3D::JVector3D::__x

protectedinherited

Definition at line 310 of file JVector3D.hh.

double JGEOMETRY3D::JVector3D::__y

protectedinherited

Definition at line 311 of file JVector3D.hh.

double JGEOMETRY3D::JVector3D::__z

protectedinherited

Definition at line 312 of file JVector3D.hh.

double JGEOMETRY3D::JVersor3D::__dx

protectedinherited

Definition at line 206 of file JVersor3D.hh.

double JGEOMETRY3D::JVersor3D::__dy

protectedinherited

Definition at line 207 of file JVersor3D.hh.

double JGEOMETRY3D::JVersor3D::__dz

protectedinherited

Definition at line 208 of file JVersor3D.hh.

double JGEOMETRY3D::JTime::__t

protectedinherited

Definition at line 202 of file JGeometry3D/JTime.hh.

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The documentation for this class was generated from the following file:

• JTrack3D.hh